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Knots, L-spaces, and SL_2(R) representations

Jacob Rasmussen, Cambridge

Location:  zoom
Date & time: Monday, 12 December 2022 at 2:00PM - 3:00PM

The L-space conjecture of Boyer-Gordon-Watson and Juhasz relates threevery different properties that a closed orientable 3-manifold mighthave: having left orderable fundamental group, having a co-oriented tautfoliation, and having a nonzero class in reduced Floer homology. I willdiscuss this conjecture and some things we can learn about it bythinking about representations of the fundamental group to SL_2(R).

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